The confined system approximation for solving non-separable potentials in three dimensions
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.31, no.13, pp.3095-3114, 1998 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 31 Issue: 13
- Publication Date: 1998
- Doi Number: 10.1088/0305-4470/31/13/013
- Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.3095-3114
- Middle East Technical University Affiliated: Yes
Abstract
The Hilbert space L-2(R-3), to which the wavefunction of the three-dimensional Schrodinger equation belongs, has been replaced by L-2(Omega), where Omega is a bounded region. The energy spectrum of the usual unbounded system is then determined by showing that the Dirichlet and Neumann problems in L-2(Omega) generate upper and lower bounds, respectively, to the eigenvalues required. Highly accurate numerical results for the quartic and sextic oscillators are presented for a wide range of the coupling constants.